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Finding the Fourth Proportional to 1,307.75, 1,804.41 and 748.17

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Solution

The fourth proportional to 1,307.75, 1,804.41 and 748.17 is: 1,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.75 : 1,804.41 = 748.17 : x
  2. Step 2: Convert to fraction form
    1,307.75/1,804.41 = 748.17/x
  3. Step 3: Cross multiply
    1,307.75x = 1,804.41 × 748.17
  4. Step 4: Simplify right side
    1,307.75x = 1,350,005.43
  5. Step 5: Solve for x
    x = 1,350,005.43/1,307.75
  6. Step 6: Final answer
    x = 1,032.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.